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Finding the Fourth Proportional to 11,463.40, 16,014.20 and 11,463.40

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Solution

The fourth proportional to 11,463.40, 16,014.20 and 11,463.40 is: 16,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.40 : 16,014.20 = 11,463.40 : x
  2. Step 2: Convert to fraction form
    11,463.40/16,014.20 = 11,463.40/x
  3. Step 3: Cross multiply
    11,463.40x = 16,014.20 × 11,463.40
  4. Step 4: Simplify right side
    11,463.40x = 183,577,180.28
  5. Step 5: Solve for x
    x = 183,577,180.28/11,463.40
  6. Step 6: Final answer
    x = 16,014.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.